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2 years ago

9

Linda bought a cube jewelry box. The volume of the jewelry box is 64 cubic inches. What is the edge length of Linda’s jewelry bo

x?

1 answer:

yawa3891 [41]2 years ago

7 0

Answer:

The edge length will be equal to 4 inches.

Step-by-step explanation:

The volume of a cube = s * s * s (in which s represent side of the cube)

V = s * s * s

V = s³

64 = s³

64 = 4³

So edge length of the cube will be 4 inches.

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20 POINTS + BRAINLIEST AND THANKS

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Answer:

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3 years ago

Help plsss Show me the work plsss

velikii [3]

Answer:

a) y = 6x - 3

b) 1/3y = 2x -1

The first thing you need to do is isolate (y) in the second equation

3 x (1/3y) = 3 x (2x - 1)

y =6x - 3

After isolating (y) in equation b they end up being the same.

Graphing:

In order to graph this, you have to make the first point at (0, -3) since this is the Y-intercept of the equation.

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3 years ago

A manufacturer of running shoes knows that the average lifetime for a particular model of shoes is 15 months. Someone in the res

Alexus [3.1K]

Answer:

Step-by-step explanation:

Hello!

So you have a new type of shoe that lasts presumably longer than the ones that are on the market. So your study variable is:

X: "Lifetime of one shoe pair of the new model"

Applying CLT:

X[bar]≈N(μ;σ²/n)

Known values:

n= 30 shoe pairs

x[bar]: 17 months

S= 5.5 months

Since you have to prove whether the new shoes last more or less than the old ones your statistical hypothesis are:

H₀:μ=15

H₁:μ≠15

The significance level for the test is given: α: 0.05

Your critical region will be two-tailed:

$Z_{\alpha /2} = Z_{0.025}= -1.96$

$Z_{1-\alpha /2} = Z_{0.975}= 1.96$

So you'll reject the null Hypothesis if your calculated value is ≤-1.96 or if it is ≥1.96

Now you calculate your observed Z-value

Z=<u>x[bar]-μ</u> ⇒ Z=<u> 17-15 </u> = 1.99

σ/√n 5.5/√30

Since this value is greater than the right critical value, i.e. Zobs(1.99)>1.96 you reject the null Hypothesis. So the average durability of the new shoe model is different than 15 months.

I hope you have a SUPER day!

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3 years ago

Principal, $2000; Annual interest rate, 5.4%; time, 2 years; The balance after 2 years is?

Sloan [31]

P = $2000
R = 5.4%
T = 2 yrs

Interest = PTR/100 = 2000*2*5.4/100 = $216
Balance = $2000 + $216 = $2216

3 0

3 years ago

A circle is centered on point b . Points a,c, and d lie on its circumference . If adc measure 61 then what does abc measure.

Elis [28]

Answer:

$\angle ABC = 122^\circ$

Step-by-step explanation:

Given

$\angle ADC = 61^\circ$

<em>See attachment for circle</em>

Required

Find $\angle ABC$

From the attachment, we can see that:

$\angle ADC$ is at the circumference

$\angle ABC\\$ is in at the center

From cyclic theorems,

The relationship between ABC and ADC is:

$\angle ADC = \frac{1}{2} * \angle ABC$

Make ABC the subject

$\angle ABC = 2 * \angle ADC$

Substitute: $\angle ADC = 61^\circ$

$\angle ABC = 2 * 61^\circ$

$\angle ABC = 122^\circ$

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2 years ago